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Finding the Fourth Proportional to 33,834.92, 50,755.01 and 14,119.11

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Solution

The fourth proportional to 33,834.92, 50,755.01 and 14,119.11 is: 21,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,834.92 : 50,755.01 = 14,119.11 : x
  2. Step 2: Convert to fraction form
    33,834.92/50,755.01 = 14,119.11/x
  3. Step 3: Cross multiply
    33,834.92x = 50,755.01 × 14,119.11
  4. Step 4: Simplify right side
    33,834.92x = 716,615,498.65
  5. Step 5: Solve for x
    x = 716,615,498.65/33,834.92
  6. Step 6: Final answer
    x = 21,179.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.